Atkin-Lehner |
2+ 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
17110c |
Isogeny class |
Conductor |
17110 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
34220000 = 25 · 54 · 29 · 59 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -1 -5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-147,-691] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:11:1] |
Generators of the group modulo torsion |
j |
355045312441/34220000 |
j-invariant |
L |
5.0328957208825 |
L(r)(E,1)/r! |
Ω |
1.3783728935289 |
Real period |
R |
0.91283275819458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85550u1 |
Quadratic twists by: 5 |